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Restarting projection methods for rational eigenproblems arising in fluid‐solid vibrations

    Marta M. Betcke Affiliation
    ; Heinrich Voss Affiliation

Abstract

For nonlinear eigenvalue problems T(λ)x = 0 satisfying a minmax characterization of its eigenvalues iterative projection methods combined with safeguarded iteration are suitable for computing all eigenvalues in a given interval. Such methods hit their limitations if a large number of eigenvalues is required. In this paper we discuss restart procedures which are able to cope with this problem, and we evaluate them for a rational eigenvalue problem governing vibrations of a fluid‐solid structure.


First Published Online: 14 Oct 2010

Keyword : nonlinear eigenvalue problem, iterative projection method, Arnoldi method, minmax characterization, restart, fluid-solid structure

How to Cite
Betcke, M., & Voss, H. (2008). Restarting projection methods for rational eigenproblems arising in fluid‐solid vibrations. Mathematical Modelling and Analysis, 13(2), 171-182. https://doi.org/10.3846/1392-6292.2008.13.171-182
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Jun 30, 2008
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This work is licensed under a Creative Commons Attribution 4.0 International License.